5880033 has 20 divisors (see below), whose sum is σ = 8849940. Its totient is φ = 3890592.

The previous prime is 5880031. The next prime is 5880037. The reversal of 5880033 is 3300885.

It can be written as a sum of positive squares in 2 ways, for example, as 2862864 + 3017169 = 1692^2 + 1737^2 .

It is not a de Polignac number, because 5880033 - 2¹ = 5880031 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5879979 and 5880006.

It is not an unprimeable number, because it can be changed into a prime (5880031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18391 + ... + 18707.

It is an arithmetic number, because the mean of its divisors is an integer number (442497).

Almost surely, 2^5880033 is an apocalyptic number.

It is an amenable number.

5880033 is a deficient number, since it is larger than the sum of its proper divisors (2969907).

5880033 is a wasteful number, since it uses less digits than its factorization.

5880033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5880033 is about 2424.8779350722. The cubic root of 5880033 is about 180.4928161699.

The spelling of 5880033 in words is "five million, eight hundred eighty thousand, thirty-three".